Biprojectivity and biflatness of Lau product of Banach algebras defined by a Banach algebra morphism

Authors

  • F. Abtahi University of Isfahan
  • A. Ghafarpanah University of Isfahan
  • A. Rejali University of Isfahan

Keywords:

Biflatness, biprojectivity, bimodule map, θ−Lau product

Abstract

Let Ï• be a homomorphism from a Banach algebra \(\mathcal B\) to a Banach algebra \(\mathcal A\). We deï¬ne a multiplication on the cartesian product space \(\mathcal A\) × \(\mathcal B\) and obtain a new Banach algebra \(\mathcal A\)×ϕ \(\mathcal B\). We show that biprojectivity as well as biflatness of \(\mathcal A\) ×ϕ \(\mathcal B\) are stable with respect to Ï•. DOI: 10.1017/S0004972714000483

Published

2014-11-13

Issue

Vol. 91 No. 1 (2015)

Section

Articles
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